Нули полиномов по системе типа Хаара

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Нули полиномов по системе типа Хаара
ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. Естественные науки. 2017. № 3 15
POLINOMIAL ZEROS ACCORDING TO THE HAAR-TYPE SYSTEM
E.A. Vlasova
Bauman Moscow State Technical University, Moscow, Russian Federation
Abstract Keywords
We obtained an accurate estimate for the Lebesgue measure of
the polynomial zeros set of arbitrarily large order with non-
zero coefficients according to the generalized Haar system for
the case of a bounded sequence of parameters defining a given
system. Similar problems were investigated for the case of an
unbounded sequence of parameters of the generalized Haar
system. In the latter case it is shown that there is always a
polynomial, whose Lebesgue measure of the polynomial zeros
set has an arbitrarily small difference from one
Generalized Haar system, polyno-
mial, Lebesgue measure, zeros set
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